Question

Simplify the given expression using the properties of operations. 2/5(a+b)+3/5(a+c)

Answer 1

The expression:

`(2)/(5)(a+b)+(3)/(5)(a+c)`

can be simplified by following the steps below:

Step 1:Expand the expression

`(2a)/(5)+(2b)/(5)+(3a)/(5)+(3c)/(5)`

Step 2: Collect the like terms

`(2a)/(5)+(3a)/(5)+(2b)/(5)+(3c)/(5)`

Step 3: Simplify the expression

`\begin{gathered} (2a+3a)/(5)+(2b)/(5)+(3c)/(5) \\ (5a)/(5)+(2b)/(5)+(3c)/(5) \\ \Rightarrow \\ a+(2b)/(5)+(3c)/(5) \\ \end{gathered}`

=>

`a+((2)/(5))b+((3)/(5))c`

The correct answer is option A